2014-12-19 22:22:03 +00:00
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/-
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Copyright (c) 2014 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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Auxiliary definitions used by automation
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-/
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2015-02-26 18:19:54 +00:00
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2014-12-19 22:22:03 +00:00
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prelude
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import init.trunc
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2015-02-21 00:30:32 +00:00
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open is_trunc
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2014-12-19 22:22:03 +00:00
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2016-02-15 20:18:07 +00:00
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definition eq_rec_eq.{l₁ l₂} {A : Type.{l₁}} {B : A → Type.{l₂}} [h : is_set A] {a : A} (b : B a) (p : a = a) :
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2014-12-20 05:56:26 +00:00
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b = @eq.rec.{l₂ l₁} A a (λ (a' : A) (h : a = a'), B a') b a p :=
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2016-02-15 20:18:07 +00:00
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eq.rec_on (is_set.elim (eq.refl a) p) (eq.refl (eq.rec_on (eq.refl a) b))
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